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Question 4 in image below , condense into a single logarithm

Question 4 in image below , condense into a single logarithm-example-1
User Ignas R
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1 Answer

1 vote

Solution:

The expression is given below as


3\log_48-5\log_42

To figure out the logarithm, we will use the formula below


a\log_xm=\log_xm^a

By applying the principle


\begin{gathered} 3\operatorname{\log}_48-5\operatorname{\log}_42 \\ =\log_48^3-\log_42^5 \end{gathered}

To simplify further, we will apply the principle below


\begin{gathered} \log_xA-\log_xB \\ =\log_x((A)/(B)) \end{gathered}
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User Raghu Ariga
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